Project PERISTOCH
Periodic phenomena in stochastic systems
ANR–19–CE40–0023, 2020 — 2024
Published articles
- E. Luçon and C. Poquet,
Emergence of oscillatory behaviors for excitable systems with noise and mean-field interaction, a slow–fast dynamics approach.
Communications in Mathematical Physics 373, 907–969 (2019).
- J. Barré, C. Bernardin, R. Chétrite, Y. Chopra & M. Mariani, From Fluctuating Kinetics to Fluctuating Hydrodynamics: A Γ–Convergence of Large Deviations Functionals Approach. Journal of Statistical Physics 180, 1095–1127 (2020).
- N. Berglund,
An Eyring–Kramers law for slowly oscillating bistable
diffusions.
Probability and Mathematical Physics 2-4, 685–743 (2021).
- E. Luçon and C. Poquet,
Periodicity induced by noise and
interaction in the kinetic mean-field FitzHugh–Nagumo model.
Annals of Applied Probability 31 (2), 561–593 (2021).
- N. Berglund, R. Nader,
Stochastic resonance in stochastic PDEs.
Stochastics and Partial Differential Equations: Analysis and Computations, Online first (2022).
- C. Kuehn, N. Berglund, C. Bick, M. Engel, T. Hurth, A. Iuorio, and C. Soresina,
A General View on Double Limits in Differential Equations.
Physica D 431, 133105 (2022).
Preprints
- M. Deaconu and S. Herrmann,
Strong approximation of Bessel processes (2021).
- C. Duval, E. Luçon and C. Pouzat,
Interacting Hawkes processes with multiplicative inhibition (2021).
- G. Giacomin and R. Greenblatt,
Lyapunov exponent for products of random Ising transfer matrices: the balanced disorder case (2021).
- G. Giacomin and R. Greenblatt,
The zeros of the partition function of the pinning model (2021).
- S. Herrmann and N. Massin,
Exact simulation of the first passage time through a given level for jump diffusions (2021).
- C. Kuehn, J. MacLaurin and G. Zucal,
Stochastic Rotating Waves (2021).
- E. Luçon and C. Poquet,
Existence, stability and regularity of periodic solutions for nonlinear Fokker–Planck equations (2021).
- E. Luçon and C. Poquet,
Periodicity and longtime diffusion for mean field systems in
Rd (2021).